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x and y are 2 numbers
.
x+y=-11
x=-11-y
.
x*y=-80
(-11-y)(y)=-80
-11y-y^2=-80
0=y^2+11y-80
0=(y+16)(y-5)
y+16=0 OR y-5=0
y=-16 OR y=5
.
For y=-16:
x=-11-y=-11-(-16)=5
For y=5
x=-11-5=-16
.
ANSWER: The two numbers are 5 and -16.